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Extensions 1→N→G→Q→1 with N=C5×C8⋊C4 and Q=C2

Direct product G=N×Q with N=C5×C8⋊C4 and Q=C2
dρLabelID
C10×C8⋊C4320C10xC8:C4320,904

Semidirect products G=N:Q with N=C5×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8⋊C4)⋊1C2 = D40⋊10C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4804(C5xC8:C4):1C2320,344
(C5×C8⋊C4)⋊2C2 = C42.16D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):2C2320,337
(C5×C8⋊C4)⋊3C2 = D40⋊9C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):3C2320,338
(C5×C8⋊C4)⋊4C2 = C8⋊D20φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):4C2320,339
(C5×C8⋊C4)⋊5C2 = C8.D20φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):5C2320,342
(C5×C8⋊C4)⋊6C2 = D5×C8⋊C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):6C2320,331
(C5×C8⋊C4)⋊7C2 = C8⋊9D20φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):7C2320,333
(C5×C8⋊C4)⋊8C2 = D10.6C42φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):8C2320,334
(C5×C8⋊C4)⋊9C2 = D10.7C42φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):9C2320,335
(C5×C8⋊C4)⋊10C2 = C5×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):10C2320,941
(C5×C8⋊C4)⋊11C2 = C5×D8⋊C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):11C2320,943
(C5×C8⋊C4)⋊12C2 = C5×C8.26D4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4804(C5xC8:C4):12C2320,945
(C5×C8⋊C4)⋊13C2 = C5×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):13C2320,997
(C5×C8⋊C4)⋊14C2 = C5×C8.2D4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):14C2320,998
(C5×C8⋊C4)⋊15C2 = C42.D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):15C2320,22
(C5×C8⋊C4)⋊16C2 = C5×C42.C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):16C2320,134
(C5×C8⋊C4)⋊17C2 = C42.182D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):17C2320,332
(C5×C8⋊C4)⋊18C2 = C42.185D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):18C2320,336
(C5×C8⋊C4)⋊19C2 = C42.19D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):19C2320,340
(C5×C8⋊C4)⋊20C2 = C42.20D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):20C2320,341
(C5×C8⋊C4)⋊21C2 = C5×C42.6C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):21C2320,933
(C5×C8⋊C4)⋊22C2 = C5×C42.7C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):22C2320,934
(C5×C8⋊C4)⋊23C2 = C5×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):23C2320,936
(C5×C8⋊C4)⋊24C2 = C5×C42.28C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):24C2320,990
(C5×C8⋊C4)⋊25C2 = C5×C42.29C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4160(C5xC8:C4):25C2320,991
(C5×C8⋊C4)⋊26C2 = M4(2)×C20φ: trivial image160(C5xC8:C4):26C2320,905
(C5×C8⋊C4)⋊27C2 = C5×C8○2M4(2)φ: trivial image160(C5xC8:C4):27C2320,906

Non-split extensions G=N.Q with N=C5×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C8⋊C4).1C2 = C8⋊Dic10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).1C2320,329
(C5×C8⋊C4).2C2 = Dic20⋊9C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).2C2320,343
(C5×C8⋊C4).3C2 = C20.45C42φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4804(C5xC8:C4).3C2320,24
(C5×C8⋊C4).4C2 = C40⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).4C2320,328
(C5×C8⋊C4).5C2 = C5×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).5C2320,942
(C5×C8⋊C4).6C2 = C5×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).6C2320,1002
(C5×C8⋊C4).7C2 = C42.2D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).7C2320,23
(C5×C8⋊C4).8C2 = C5×C42.2C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).8C2320,135
(C5×C8⋊C4).9C2 = C5×C16⋊C4φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4804(C5xC8:C4).9C2320,152
(C5×C8⋊C4).10C2 = C42.14D10φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).10C2320,330
(C5×C8⋊C4).11C2 = C5×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).11C2320,947
(C5×C8⋊C4).12C2 = C5×C42.30C22φ: C2/C1 → C2 ⊆ Out C5×C8⋊C4320(C5xC8:C4).12C2320,992

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